Berenice03
Answered

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A quadratic equation has a
discriminant equal to 5. What
does this tell you about the
solution(s) to the equation?

Sagot :

Sarah06109

Answer:

[tex]\boxed {\boxed {\sf 2 \ real \ solutions }}[/tex]

Step-by-step explanation:

The quadratic formula is:

[tex]{x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex]

The discriminant of a quadratic is just the expression under the square root, or [tex]b^2-4ac[/tex]. This can tell us the number of solutions a quadratic has.

If the discriminant is:

  • Positive = 2 real solutions
  • Equal to Zero = 1 real double/repeated solution
  • Negative = 0 real solutions, but 2 imaginary solutions

Our quadratic equation has a discriminant of 5, which is positive. Therefore, it has 2 real solutions.

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